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Finding the Fourth Proportional to 37,828.50, 56,726.32 and 12,861.84

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Solution

The fourth proportional to 37,828.50, 56,726.32 and 12,861.84 is: 19,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,828.50 : 56,726.32 = 12,861.84 : x
  2. Step 2: Convert to fraction form
    37,828.50/56,726.32 = 12,861.84/x
  3. Step 3: Cross multiply
    37,828.50x = 56,726.32 × 12,861.84
  4. Step 4: Simplify right side
    37,828.50x = 729,604,851.63
  5. Step 5: Solve for x
    x = 729,604,851.63/37,828.50
  6. Step 6: Final answer
    x = 19,287.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.